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Finding the Third Proportional to 7,766,896 and 17,026,784

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Solution

The third proportional to 7,766,896 and 17,026,784 is: 37,326,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766,896 : 17,026,784 = 17,026,784 : x
  2. Step 2: Convert to fraction form
    7,766,896/17,026,784 = 17,026,784/x
  3. Step 3: Cross multiply
    7,766,896x = 17,026,784 × 17,026,784
  4. Step 4: Simplify right side
    7,766,896x = 289,911,373,382,656
  5. Step 5: Solve for x
    x = 289,911,373,382,656/7,766,896
  6. Step 6: Final answer
    x = 37,326,542.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.